diff --git a/Lib/threading.py b/Lib/threading.py
index 01a15a6fc07..cec9cdb8e69 100644
--- a/Lib/threading.py
+++ b/Lib/threading.py
@@ -1107,8 +1107,7 @@ def daemon(self):
         main thread is not a daemon thread and therefore all threads created in
         the main thread default to daemon = False.
 
-        The entire Python program exits when no alive non-daemon threads are
-        left.
+        The entire Python program exits when only daemon threads are left.
 
         """
         assert self._initialized, "Thread.__init__() not called"